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Finding the Fourth Proportional to 7,432.75, 10,259.09 and 4,290.76

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Solution

The fourth proportional to 7,432.75, 10,259.09 and 4,290.76 is: 5,922.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.75 : 10,259.09 = 4,290.76 : x
  2. Step 2: Convert to fraction form
    7,432.75/10,259.09 = 4,290.76/x
  3. Step 3: Cross multiply
    7,432.75x = 10,259.09 × 4,290.76
  4. Step 4: Simplify right side
    7,432.75x = 44,019,293.01
  5. Step 5: Solve for x
    x = 44,019,293.01/7,432.75
  6. Step 6: Final answer
    x = 5,922.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.